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Physics · PYQ NEET UG 2016(2)

हिन्दी

An electric dipole is placed at an angle of \( 30^\circ \) with an electric field intensity \( 2 \times 10^5\text{ N/C} \). It experiences a torque equal to \( 4\text{ Nm} \). The charge on the dipole, if the dipole length is \( 2\text{ cm} \), is

  1. \( 7\,\mu\text{C} \)
  2. \( 8\text{ mC} \)
  3. \( 2\text{ mC} \)
  4. \( 5\text{ mC} \)

Correct answer · Option 3

\( 2\text{ mC} \)

Explanation

Torque \( \tau = pE \sin\theta = (q \cdot 2l)E \sin\theta \). Given \( \tau = 4 \), \( E = 2 \times 10^5 \), \( 2l = 0.02\text{ m} \), \( \theta = 30^\circ \). \( 4 = q \times 0.02 \times 2 \times 10^5 \times 0.5 \implies q = \frac{4}{2 \times 10^3} = 2\text{ mC} \).
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